Caleb Suan

activity

20242026

collaborators

4 papers

math.DG2026

Flows of conformally coclosed $G_{2}$ -structures with dilaton

Spiro Karigiannis, SÃ©bastien Picard, Caleb Suan

We study flows of $G_{2}$ -structures guided by the principle of dimensional reduction: natural geometric flows in $G_{2}$ -geometry reduce to natural flows in complex geometry. Our main…

math.DG2025

Gromov-Hausdorff continuity of non-KÃ¤hler Calabi-Yau conifold transitions

Benjamin Friedman, SÃ©bastien Picard, Caleb Suan

We study the geometry of Calabi-Yau conifold transitions. This deformation process is known to possibly connect a KÃ¤hler threefold to a non-KÃ¤hler threefold. We use balanced and…

math.DG2025

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds

Henrique N. SÃ¡ Earp, Julieth Saavedra, Caleb Suan

We explore three versions of the Laplacian coflow of $G_{2}$ -structures on circle fibrations over Calabi--Yau 3-folds, interpreting their dimensional reductions to the KÃ¤hler geomet…

math.DG2024

Anomaly Flow: Shi-Type Estimates and Long-time Existence

Caleb Suan

We consider the long-time existence of the anomaly flow on a compact complex $3$ -fold with general slope parameter $I^\pm^{'}$ . In particular, we obtain integral Shi-type estimates for t…

Flows of conformally coclosed G2​-structures with dilaton

Gromov-Hausdorff continuity of non-KÃ¤hler Calabi-Yau conifold transitions

Laplacian coflows of G2​-structures on contact Calabi--Yau 7-manifolds

Anomaly Flow: Shi-Type Estimates and Long-time Existence

Flows of conformally coclosed $G_{2}$ -structures with dilaton

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds